Question

A pile of gravel is in the shape of a cone. The radius of the pile of gravel is 9 feet at the base. The height of the pile of gravel is 8feet. What is the volume of gravel, in cubic feet, in the pile?

Answer 1

Answer:

678.24 cubic feet.

Step-by-step explanation:

A pile of gravel is in the shape of a cone.

Radius of base of cone (r) = 9 feet

Height of the cone (h) = 8 feet

Volume of the cone (V) = ?

We know that, volume of a conical shape of radius 'r' and height 'h' is given as:

$V=\frac{1}{3}\pi r^2h$

Now, plug in the given values and use 3.14 for π. Solve for 'V'. This gives,

$V=\frac{1}{3}\times 3.14\times 9^2\times 8\\\\V=\frac{3.14\times 81\times 8}{3}\\\\V=3.14\times 27\times 8\\\\V=678.24\ ft^3$

Therefore, the volume of the gravel of pile is 678.24 cubic feet.